geometry

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Construct a truth table for (qvp)__> ~q

  • geometry -

    The truth table for ~q is the opposite:
    q ~q
    T F
    F T

    The truth table for conditional, p→q is true except when p is true and q is false, i.e.
    p q p→q
    T T T
    T F F
    F T T
    F F T

    For p∧q, the result is true only if both are true, i.e.
    p q p∧q
    T T T
    T F F
    F T F
    F F F

    Based on the above, you should attempt the compound truth table. Post if you have questions or need to verify your result.

  • geometry -

    Sorry, I gave the truth table for ∧ when it should be or, ∨, which is false only when both p and q are false, i.e.
    p q p∨q
    T T T
    T F T
    F T T
    F F F

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